75 citations · 453 across the 27 of their papers we have counts for
6 papers · 1 filter
A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes
José A. Carrillo, Bertram Düring, Daniel Matthes +1
A Lagrangian numerical scheme for solving nonlinear degenerate Fokker-Planck equations in space dimensions is presented. It applies to a large class of nonlinear diffusion…
A higher-order gradient flow scheme for a singular one-dimensional diffusion equation
Bertram Düring, Philipp Fuchs, Ansgar Jüngel
A nonlinear diffusion equation, interpreted as a Wasserstein gradient flow, is numerically solved in one space dimension using a higher-order minimizing movement scheme based on th…
High-order compact schemes for parabolic problems with mixed derivatives in multiple space dimensions
Bertram Düring, Christof Heuer
We present a high-order compact finite difference approach for a class of parabolic partial differential equations with time and space dependent coefficients as well as with mixed…
High-order ADI schemes for convection-diffusion equations with mixed derivative terms
Bertram Düring, Michel Fournié, Alain Rigal
We present new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with mixed d…
A primal-dual approach for a total variation Wasserstein flow
Martin Benning, Luca Calatroni, Bertram Düring +1
We consider a nonlinear fourth-order diffusion equation that arises in denoising of image densities. We propose an implicit time-stepping scheme that employs a primal-dual method f…
ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing
Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb
We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing.…